742810320 has 240 divisors, whose sum is σ = 3001415040. Its totient is φ = 160828416.

The previous prime is 742810319. The next prime is 742810333. The reversal of 742810320 is 23018247.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91882 + ... + 99638.

It is an arithmetic number, because the mean of its divisors is an integer number (12505896).

Almost surely, 2^742810320 is an apocalyptic number.

742810320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742810320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500707520).

742810320 is an abundant number, since it is smaller than the sum of its proper divisors (2258604720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

742810320 is a wasteful number, since it uses less digits than its factorization.

742810320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7802 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 742810320 is about 27254.5467766389. The cubic root of 742810320 is about 905.6477440003.

Adding to 742810320 its reverse (23018247), we get a palindrome (765828567).

The spelling of 742810320 in words is "seven hundred forty-two million, eight hundred ten thousand, three hundred twenty".